23484969446400 has 3696 divisors, whose sum is σ = 111062380481280. Its totient is φ = 4779963187200.

The previous prime is 23484969446311. The next prime is 23484969446429. The reversal of 23484969446400 is 464496948432.

It is a happy number.

23484969446400 is a `hidden beast` number, since 2 + 3 + 4 + 84 + 9 + 6 + 94 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 84783283062 + ... + 84783283338.

Almost surely, 2^{23484969446400} is an apocalyptic number.

23484969446400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23484969446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55531190240640).

23484969446400 is an abundant number, since it is smaller than the sum of its proper divisors (87577411034880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23484969446400 is a wasteful number, since it uses less digits than its factorization.

23484969446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 23484969446400 in words is "twenty-three trillion, four hundred eighty-four billion, nine hundred sixty-nine million, four hundred forty-six thousand, four hundred".